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ZAPATA AISLADA Y COMBINADA
Edison Martinez
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Zap. Centrica Aislada ZAPATA CENTRICA Columna Peso Total (Kg) PD Total (Kg) PL Total (Kg) t1 (m) t2 (m) T (m) S (m) PERALTE (m) Doblar Ref Rigidez Resorte (Tn/m) ACI 318S-08 1B 96909.28 73091.48 23817.8 0.30 0.75 1.75 1.75 0.30 SI 7656.25 Story Point Load FX FY FZ MX MY MZ Story Point Load FX FY FZ MX MY MZ Col: 3A 1C 96269.67 71488.08 24781.59 0.30 0.75 1.75 1.75 0.30 SI 7656.25 BASE 6 PD -2123.44 -275.39 73091.48 162.178 -1524.115 -0.195 BASE 6 PL -973.11 -124.07 23817.8 72.937 -698.479 -0.115 Pd = 42417.92 Kg 2A 114273.86 85011.74 29262.12 0.75 0.30 1.75 1.75 0.30 SI 7656.25 BASE 7 PD -1246.72 198.67 71488.08 -138.388 -897.621 -0.195 BASE 7 PL -624.31 92.64 24781.59 -64.857 -449.44 -0.115 Pl = 13527.36 Kg 4A 92903.56 71359.49 21544.07 0.95 0.30 1.75 1.75 0.30 SI 7656.25 BASE 12 PD -38.29 1113.5 85011.74 -801.235 -24.105 -0.195 BASE 12 PL -9.29 569.62 29262.12 -409.884 -5.664 -0.115 Df = 1.20 m 2D 111962.18 84873.8 27088.38 0.95 0.30 1.75 1.75 0.30 SI 7656.25 BASE 14 PD -727.04 830.23 71359.49 -596.644 -432.078 -0.304 BASE 14 PL -327.73 424.84 21544.07 -305.359 -194.715 -0.211 S/C = 500 Kg/m² 10D 85621.35 65757.52 19863.83 0.95 0.30 1.75 1.75 0.30 SI 7656.25 BASE 15 PD 503.08 839.41 84873.8 -604.555 300.476 -0.304 BASE 15 PL 248.2 430.91 27088.38 -310.336 148.261 -0.211 t1 = 0.75 m 5B 88366.08 64683.4 23682.68 0.75 0.30 1.75 1.75 0.30 SI 7656.25 BASE 17 PD -162.25 731.8 65757.52 -526.417 -95.846 -0.304 BASE 17 PL -53.69 379.1 19863.83 -272.735 -31.569 -0.211 t2 = 0.30 m 5C 89626.07 65640.59 23985.48 0.75 0.30 1.75 1.75 0.30 SI 7656.25 BASE 18 PD -441.5 738.06 64683.4 -530.826 -285.386 -0.224 BASE 18 PL -212.71 389.28 23682.68 -279.986 -137.472 -0.156 hc = 0.20 SAHEP PERÚ: Espesor del Piso m 3A 55945.28 42417.92 13527.36 0.75 0.30 2.30 2.35 0.30 SI 13512.50 BASE 19 PD 228.39 731.76 65640.59 -526.705 148.317 -0.224 BASE 19 PL 112.89 388.03 23985.48 -279.289 73.327 -0.156 ϒm = 1900 Kg/m³ 3D 48435.65 38541.74 9893.91 0.30 0.75 2.30 2.35 0.30 SI 13512.50 BASE 21 PD -283.1 454.22 42417.92 -326.672 -183.01 -0.224 BASE 21 PL -113.14 242.63 13527.36 -174.522 -73.101 -0.156 σt = 0.90 Kg/cm² 2B 60312.18 47291.83 13020.35 0.30 0.75 2.75 2.80 0.30 SI 19250.00 BASE 24 PD 216.81 156.98 38541.74 -100.121 154.655 -0.224 BASE 24 PL 105.54 103.05 9893.91 -66.001 75.08 -0.156 f'c = 210 SAHEP PERÚ: Para la Zapata Kg/cm² 2C 81832.12 59920.02 21912.1 0.30 0.75 2.75 2.80 0.30 SI 19250.00 BASE 25 PD 394.11 -541.8 47291.83 354.18 287.375 -0.195 BASE 25 PL 180.24 -236.89 13020.35 154.921 131.345 -0.115 f'c = 280 SAHEP PERÚ: Para la Columna Kg/cm² 4B 64779.11 50241.33 14537.78 0.75 0.30 2.75 2.80 0.30 SI 19250.00 BASE 26 PD 585.19 13.39 59920.02 -4.263 420.525 -0.195 BASE 26 PL 292.44 6.11 21912.1 -1.753 210.159 -0.115 fy = 4200 Kg/cm² 4C 64592.86 50410.58 14182.28 0.75 0.30 2.75 2.80 0.30 19250.00 BASE 29 PD 395.28 -356.45 50241.33 256.495 255.912 -0.195 BASE 29 PL 161.98 -169.54 14537.78 122 104.872 -0.115 3B 52518.77 43096.02 9422.75 0.95 0.30 3.25 3.25 0.35 26406.25 BASE 30 PD 36.21 -456.75 50410.58 328.67 23.446 -0.224 BASE 30 PL 23.34 -227.19 14182.28 163.481 15.113 -0.156 1° Esfuerzo Neto del Terreno 3C 83340.29 64862.01 18478.28 0.95 0.30 3.25 3.25 0.35 26406.25 BASE 32 PD -556.87 -332.57 43096.02 239.313 -331.614 -0.332 BASE 32 PL -230.63 -161.48 9422.75 116.197 -137.338 -0.247 2H 76771.41 59680.31 17091.1 0.95 0.30 BASE 33 PD -833.53 -316.75 64862.01 227.933 -496.367 -0.304 BASE 33 PL -346.37 -152.72 18478.28 109.893 -206.26 -0.211 σn = 0.57 Kg/cm² 5H 90224.82 67184.85 23039.97 0.75 0.30 BASE 35 PD -601.89 -373.63 59680.31 268.857 -358.424 -0.264 BASE 35 PL -246.41 -176.39 17091.1 126.93 -146.738 -0.155 6I 92354.43 68749.15 23605.28 0.75 0.30 BASE 36 PD -403.84 -527.64 67184.85 379.685 -261.457 -0.195 BASE 36 PL -183.32 -270.08 23039.97 194.346 -118.687 -0.115 2° Area de la Zapata T = S = 3.12 x 3.12 m2 7I 257019.75 183979.23 73040.52 0.65 0.65 BASE 37 PD 207.44 -584.56 68749.15 420.641 134.303 -0.195 BASE 37 PL 102.99 -297.67 23605.28 214.202 66.679 -0.115 4D 251058.28 179764.14 71294.14 0.65 0.65 BASE 60 PD 57.57 38.82 183979.23 -55.229 52.489 -0.97 BASE 60 PL 17.28 21.23 73040.52 -29.335 6.233 -0.57 Azap = 97465.6445993031 cm² 97150 cm² 5D 252274.18 180617.32 71656.86 0.65 0.65 BASE 62 PD 13.79 41.68 179764.14 -59.134 -4.974 -0.97 BASE 62 PL -7.25 21.2 71294.14 -29.293 -25.908 -0.57 241476.68 160969.41 80507.27 0.65 0.65 BASE 64 PD -176.37 21.28 180617.32 -31.261 -262.431 -0.97 BASE 64 PL -107.66 10.47 71656.86 -14.626 -161.717 -0.57 Debe Cumplir que Lv1 = Lv2: 233173.54 155678.81 77494.73 0.65 0.65 BASE 67 PD -231.69 -99.71 160969.41 154.932 -342.691 -0.97 BASE 67 PL -110.38 -48.08 80507.27 77.646 -168.187 -0.57 232688.36 155330.91 77357.45 0.65 0.65 BASE 69 PD -243.25 42.52 155678.81 -39.379 -356.149 -0.97 BASE 69 PL -116.82 22.18 77494.73 -18.342 -175.606 -0.57 T = 3.35 m 3.35 m 107187.25 84784.33 22402.92 0.65 0.65 BASE 71 PD -176.12 -62.58 155330.91 104.205 -262.093 -0.97 BASE 71 PL -84.24 -32.83 77357.45 56.815 -129.715 -0.57 S = 2.89 m 2.90 m 115782.79 89227.83 26554.96 0.65 0.65 BASE 72 PD 15537.45 158.82 84784.33 -285.507 -692.354 -17.108 BASE 72 PL 4059 40.97 22402.92 -35.603 -353.241 1.621 118224.83 93172.28 25052.55 0.65 0.65 BASE 73 PD -16042.01 1086.42 89227.83 -2241.497 1165.386 94.151 BASE 73 PL -4551.42 401.67 26554.96 -812.587 603.051 34.278 Lv1 = Lv2 = 1.300 m 137399.98 104783.2 32616.78 0.65 0.65 BASE 76 PD 17348.48 -925.02 93172.28 1206.807 -822.372 -19.996 BASE 76 PL 4631.58 -486.34 25052.55 604.636 -411.368 -14.562 = 1.300 m Conforme 124091.5 91731.45 32360.05 0.65 0.65 BASE 77 PD -18681.27 -1388.79 104783.2 2276.929 1321.682 -58.432 BASE 77 PL -5565.29 -804.7 32616.78 1343.473 679.272 -40.229 130545.66 94627.62 35918.04 0.65 0.65 BASE 78 PD 16685.69 -65.07 91731.45 19.477 -1301.459 -18.573 BASE 78 PL 5909.83 14.61 32360.05 -80.775 -654.651 -14.975 3° Reaccion Neta del Terreno 127333.01 93921.98 33411.03 0.65 0.65 BASE 79 PD -18180.64 -222.26 94627.62 449.103 370.393 -18.931 BASE 79 PL -7005.12 -116.28 35918.04 256.871 193.47 -12.934 135847.68 98069.96 37777.72 0.65 0.65 BASE 80 PD 17100.79 -637.52 93921.98 1049.105 -1353.964 24.615 BASE 80 PL 6113.75 -384.18 33411.03 656.793 -679.736 19.75 Pu = 72545.28 Kg 162862.09 120942.38 41919.71 0.65 0.65 BASE 81 PD -18800.24 -349.81 98069.96 478.121 405.821 5.309 BASE 81 PL -7339.2 -167.16 37777.72 199.203 211.776 7.713 Azap = 97150 cm² 240253.09 174811.97 65441.12 0.65 0.65 BASE 93 PD 4516.91 1045.51 120942.38 -1429.826 6108.612 -0.97 BASE 93 PL 2143.83 506.98 41919.71 -693.331 2894.026 -0.57 Wu = 0.75 Kg/cm² 210073.31 150495.06 59578.25 0.65 0.65 BASE 94 PD -2327.8 -646.24 174811.97 868.825 -3189.12 -0.97 BASE 94 PL -1008.34 -259.46 65441.12 348.067 -1387.513 -0.57 199299.88 142970.49 56329.39 0.65 0.65 BASE 95 PD 339.36 15.62 150495.06 -30.557 439.818 -0.97 BASE 95 PL 177.31 8.72 59578.25 -16.367 226.238 -0.57 4° Dimensionamiento de la altura hz de la Zapata 189807.49 136509.75 53297.74 0.65 0.65 BASE 96 PD 508.94 34.79 142970.49 -56.741 673.841 -0.97 BASE 96 PL 259.03 17.6 56329.39 -28.498 339.256 -0.57 195740.38 141356.79 54383.59 0.65 0.65 BASE 97 PD 552.16 -84.89 136509.75 106.753 735.224 -0.97 BASE 97 PL 279.47 -42.2 53297.74 53.203 368.568 -0.57 ● Por Punzonamiento 214978.91 154124.09 60854.82 0.65 0.65 BASE 98 PD -104.86 236.57 141356.79 -327.166 -171.147-0.97 BASE 98 PL -50.24 125.47 54383.59 -172.886 -87.123 -0.57 φ = 0.75 224748.87 163113.19 61635.68 0.65 0.65 BASE 99 PD -33.4 -14.84 154124.09 14.574 -64.768 -0.97 BASE 99 PL -16.61 -9.09 60854.82 10.029 -35.943 -0.57 Vu = 72545.28 - 0.75(75 + d)(30 + d) 246452.9 177552.17 68900.73 0.65 0.65 BASE 100 PD -1401.52 577.41 163113.19 -786.741 -1932.965 -0.97 BASE 100 PL -682.99 285.41 61635.68 -388.128 -946.869 -0.57 φVc = 256882.14 184267.63 72614.51 0.65 0.65 BASE 101 PD 1932.39 842.16 177552.17 -1146.464 2606.407 -0.97 BASE 101 PL 822.01 357.37 68900.73 -485.903 1103.591 -0.57 288504.16 204454 84050.16 0.65 0.65 BASE 102 PD 1167.83 1070.88 184267.63 -1453.711 1558.098 -0.97 BASE 102 PL 592.78 543.02 72614.51 -736.074 786.563 -0.57 d = 20.66 cm 4E 291416.52 206225.55 85190.97 0.65 0.65 BASE 103 PD -25.86 -8.37 204454 12.759 -61.482 -0.97 BASE 103 PL -12.3 -3.11 84050.16 5.994 -34.184 -0.57 r = 7.5 cm 288233.68 204060.79 84172.89 0.65 0.65 BASE 104 PD 47.46 128.62 206225.55 -174.399 41.018 -0.97 BASE 104 PL 24.82 65.89 85190.97 -88.285 17.902 -0.57 Diametro de Varilla φ : 5/8" hz = 30 cm hz = 30 cm 289526.96 205779.04 83747.92 0.65 0.65 BASE 105 PD 27.59 -201.73 204060.79 276.933 16.223 -0.97 BASE 105 PL 15.61 -103.14 84172.89 142.647 6.694 -0.57 dprom = 20.9125 cm 243267.23 174786.51 68480.72 0.65 0.65 BASE 106 PD 1071.01 986.83 205779.04 -1339.511 1436.021 -0.97 BASE 106 PL 545.94 494.91 83747.92 -670.709 728.498 -0.57 Vu/φVc = 0.92 203209.84 149521.96 53687.88 0.65 0.65 BASE 107 PD -1147.31 338.5 174786.51 -455.073 -1587.566 -0.97 BASE 107 PL -586.29 164.45 68480.72 -219.621 -815.478 -0.57 274015.99 195106.1 78909.89 0.65 0.65 BASE 108 PD -1365.45 -188.28 149521.96 260.682 -1879.183 -0.97 BASE 108 PL -804.41 -39.43 53687.88 57.4 -1109.039 -0.57 ● Verificación por Cortante 224674.79 161581.77 63093.02 0.65 0.65 BASE 109 PD -2443.39 1551.92 195106.1 -2103.792 -3339.122 -0.97 BASE 109 PL -1207.23 777.46 78909.89 -1052.55 -1653.601 -0.57 φ = 0.75 108069.93 85112.06 22957.87 0.65 0.65 BASE 110 PD 1415.02 831.85 161581.77 -1122.182 1893.973 -0.97 BASE 110 PL 667.34 465.96 63093.02 -627.395 887.877 -0.57 Vdu = 23623.2335283582 256034.37 183528.77 72505.6 0.65 0.65 BASE 111 PD -477.91 -495.68 85112.06 681.579 -673.256 -0.97 BASE 111 PL -124.74 -187.88 22957.87 261.002 -185.543 -0.57 φVc = 34934.1943654953 Vdu < φVc ………..(Conforme) 211594.17 149783.24 61810.93 0.65 0.65 BASE 112 PD 1272.92 926.51 183528.77 -1250.795 1710.358 -0.97 BASE 112 PL 595.33 379.17 72505.6 -509.481 795.594 -0.57 194452.42 139944.49 54507.93 0.65 0.65 BASE 113 PD -3565.73 533.38 149783.24 -712.578 -4873.559 -0.97 BASE 113 PL -1628.94 329.29 61810.93 -439.316 -2232.166 -0.57 253515.13 178168.55 75346.58 0.65 0.65 BASE 114 PD 402.84 35.83 139944.49 -36.546 523.452 -0.97 BASE 114 PL 208.49 19.06 54507.93 -17.79 267.226 -0.57 190194.11 128424.53 61769.58 0.65 0.65 BASE 115 PD -1525.68 1894.33 178168.55 -2561.754 -2092.198 -0.97 BASE 115 PL -703.27 942.38 75346.58 -1272.347 -968.856 -0.57 215835.99 144698.18 71137.81 0.65 0.65 BASE 116 PD 415.78 481.96 128424.53 -643.263 539.472 -0.97 BASE 116 PL 205.76 245.94 61769.58 -326.107 262.316 -0.57 5° Diseño por Flexión φ = 0.9 228394.64 153994.46 74400.18 0.65 0.65 BASE 117 PD 737.25 39.62 144698.18 -38.937 983.414 -0.97 BASE 117 PL 366.61 20.87 71137.81 -18.611 484.863 -0.57 205605.98 138293.09 67312.89 0.65 0.65 BASE 118 PD 1994.7 2564.56 153994.46 -3469.313 2691.067 -0.97 BASE 118 PL 974.93 1295.08 74400.18 -1749.735 1311.372 -0.57 ● Dirección Longitudinal Usar 75 φ 5/8" @ 3.7 cm 211127.61 142218.89 68908.72 0.65 0.65 BASE 119 PD -131.59 505.7 138293.09 -672.179 -208.35 -0.97 BASE 119 PL -63.81 258.2 67312.89 -340.789 -105.977 -0.57 Mu = 18298.7348059701 Kg - m 171283.78 116418.1 54865.68 0.65 0.65 BASE 120 PD -2205.12 -1733.37 142218.89 2373.965 -3015.379 -0.97 BASE 120 PL -1102.07 -876.2 68908.72 1202.534 -1510.721 -0.57 Ru = 14.43 Kg/cm² 181343.94 122797.18 58546.76 0.65 0.65 BASE 121 PD -1919.06 946.64 116418.1 -1264.026 -2636.173 -0.97 BASE 121 PL -978.4 473.13 54865.68 -628.839 -1348.259 -0.57 ρ = 0.0040063779 106443.22 73872.3 32570.92 0.65 0.65 BASE 122 PD 17.23 -2440.88 122797.18 3338.728 4.209 -0.97 BASE 122 PL -6.77 -1231.9 58546.76 1687.855 -22.49 -0.57 ρmin = 0.0018 147096.63 104914.29 42182.34 0.65 0.65 BASE 123 PD -158.72 115.36 73872.3 -305.363 -465.604 -1.115 BASE 123 PL -83.87 61.05 32570.92 -157.843 -250.296 -0.776 As = 34.9 cm² 0.65 0.65 BASE 124 PD -750.37 -119.42 104914.29 347.749 -2108.817 -1.115 BASE 124 PL -364.77 -98.52 42182.34 286.007 -1030.118 -0.776 Av = 1.98 cm² 0.65 0.65 BASE 125 PD -2398.84 1143.86 113545.29 -1531.998 -3290.31 -0.97 BASE 125 PL -947.65 632.37 44255.49 -845.085 -1306.436 -0.57 # var = 17.6 75 varillas 0.65 0.65 BASE 126 PD -425.51 161.55 128588.38 -195.198 -602.802 -0.97 BASE 126 PL -201.52 81.48 61996.06 -95.36 -289.943 -0.57 Esp. S = 3.7 cm BASE 127 PD -1409.16 -2057.24 114916.35 2820.85 -1933.877 -0.97 BASE 127 PL -658.27 -1034.79 53983.52 1422.022 -907.71 -0.57 BASE 191 PD 107.6 -211.05 25526.58 148.241 75.58 -0.256 BASE 191 PL 52.96 -116.43 6424.37 81.78 37.197 -0.178 ● Dirección Transversal Usar 13 φ 5/8" @ 26.5 cm Ast = 40.26 cm2 3635298.18489921 # var = 20.3 13 varillas Esp. S = 26.5 cm 20.66 6° Transferencia de Carga de la Columna a la Zapata 92266.85484375 ● Resistencia al Aplastamiento de la Columna φn = 0.65 Esfuerzos por Punzonamiento Sobre la Columna Pn = 111608.123076923 Kg φVc = 70747.7667270875 Kg 38586.9910453633 De la Columna Pnb = 535500 Kg Vu = 65252.451741826 Kg 35589.7562217439 Pn < Pnb ……….(No Necesita Dowels) 3646.414129087 Asmin = 11.3 cm2 26.6 ● Resistencia al Aplastamiento en el Concreto de la Zapata A1 = 0.225 m² A2 = 4.49 m² A2 = 4.47 2 A1 Ao = 0.45 m² Pnb = 803250 Kg Pn < Pnb ……….(No Necesita Dowels) Asmin = 11.3 cm2 Acero de Espera(Dowels) entre columna y Zapata As = 11.3 cm² Usar 9 φ1/2" Diametro de la Varilla a Usar φ: 1/2" Av = 1.27 cm² Numero de Varillas : 9 ldc1 = 23.9 cm 7° Longitud de Desarrollo del Refuerzo en espera(Dowels) a compresión ldc2 = 23.5 cm ldc1 = 27.6 cm ldc2 = 23.5 cm ldcmin = 20 cm ● En la Columna ldc = 23.9 cm Cb = Distancia medida del centro de una barra o alambre a la superficie mas cercana del concrero ● En la Zapata ldc = 27.6 cm Valor Predominante La mitad de la separación centro a centro de las barras o alambres que se desarrollan Longitud disponible para el Desarrollo de las Barras o Dowels a compresión = 30 - 7.5 - 3.175 - 1.27 Nota: Colocar la Primera Capa de Refuerzo en la Dirección Corta y la Segunda Capa = 19 cm en la Dirección Larga Aumentar la Altura de la Zapata o cambiar el Diamtro de las Barras(Dowels) para garantizar el desarrollo ldc 8° Longitud de Desarrollo del Refuerzo de la Zapata Direccion Longitudinal 5.08 Cb = 1.80 cm Ktr = 0.00 No hay Estribos 1.1 1.1 1.80 cm 290 - 2*(7.5 + 1.5875) 7.5 + 1.5875/2 db = 1.5875 cm Cb = 8.30 cm 148 Ψt = 1 9.90 cm Ψe = 1.0 Ψt*Ψe = 1 < 1.7 Ψs = 0.8 7.5 + 1.5*1.5875 λ = 1.0 C° de Peso Normal ld = 92 cm ldmin = 30 cm Longitudde Desarrollo Disonible : Lv1 = Lv2 = 1.3 m Direccion Transversal Longitud de Desarrollo disponible en ambos sentidos Ld = 1.23 m 13.2010416667 Cb = 8.3 No se Necesita doblar el Refuerzo 335 - 2*(7.5 + 1.5875) 24 Combinada Rectangular ZAPATA COMBINADA RECTANGULAR ACI 318S-08 Cimentación Columna Izquierda Columna Derecha hf = 1.50 SAHEP PERÚ: Altura del Relleno m Pd = 75000 Kg Pd = 125000 Kg S/C = 500 Kg/m2 Pl = 35000 Kg Pl = 50000 Kg hc = 0.10 SAHEP PERÚ: Espesor del Piso m t1 = 0.50 m t1 = 0.65 m ϒm = 2100 Kg/m3 t2 = 0.50 m t2 = 0.65 m σt = 2.00 Kg/cm2 f'c = 210 Kg/cm2 f'c = 210 Kg/cm2 f'c = 175 SAHEP PERÚ: Para la Zapata SAHEP PERÚ: Altura del Relleno SAHEP PERÚ: Espesor del Piso Kg/cm2 fy = 4200 Kg/cm2 l1 = 5.00 m 1° Esfuerzo Neto del Terreno σn = 1.61 Kg/cm2 2° Area de la Zapata Pt = 285000 Kg Azap = 177018.633540373 cm2 Xo = 3.67 m Lz = 7.34 m 7.35 m lv = 1.20 m b = 240.8416782862 cm 240 cm 3° Reacción Neta del Terreno ● Por Unidad de Longitud ● Por Unidad de Area P1u = 146000 Kg WNU = 51156.462585034 Kg/m P2u = 230000 Kg b = 240 cm WNU = 51156.462585034 Kg/m Wnu = 2.13 Kg/cm2 3° Dimensionamiento de la Altura hz de la Zapata Para una Cuantía ρ = 0.0036 φ = 0.9 ρmin = 0.0018 Xo = 2.854 m Mmáx = -171841.223401361 Kg-m d = 74.46 cm hz = 82 cm hz = 85 cm Peralte Efectivo en Tramo Interior Recubrimiento r = 5 cm d = 78.73 cm Interior Varillas a Usar φ: 1" Interior Peralte Efectivo en Voladizo Recubrimiento r = 7.5 cm Varillas a Usar φ: 3/4" Voladizo d = 76.55 cm Voladizo 4° Verificaciónes ● Por Cortante φ = 0.75 Y1 = 1.037 m Vd1 = 80161.6326530612 Kg Y2 = 1.112 m Vd2 = 95100.4081632653 Kg Y3 = 1.091 m Vd3 = 22201.9047619047 Kg Vu = 95100.4 Kg Vn = 126800.544217687 Kg Vc = 132478.800457993 Kg Vn < Vc ……….(Conforme) ● Por Punzonamiento φ = 0.75 a) Columna Exterior Vu = 128989.60013075 Kg Vn = 171986.133507667 Kg Vc1 = 404935.201399904 Kg Vc2 = 799156.492262769 Kg Vc = 264957.6 Kg Vc3 = 264957.600915987 Kg Vn < Vc ……….(Conforme) b) Columna Interior Vu = 185997.793523 Kg Vn = 247997.058030667 Kg Vc1 = 404935.201399904 Kg Vc2 = 1020549.18952815 Kg Vc = 264957.6 Kg Vc3 = 264957.600915987 Kg Vn < Vc ……….(Conforme) 5° Diseño por Flexión φ = 0.9 ● Refuerzo Superior Mu = 171841.223401361 Kg-m As = 60.48 cm2 Ru = 11.55 Kg/cm2 Av = 5.07 cm2 ρ = 0.0032006092 # var = 11.93 14 Varillas ρmin = 0.0018 Esp. S = 17.7 Usar 14 φ 1" @ 17.7 cm ● Refuerzo Inferior Mu = 36832.6530612245 Kg-m As = 33.07 cm2 Ru = 2.62 Kg/cm2 Av = 2.85 cm2 ρ = 0.0007000613 # var = 11.6 13 Varillas ρmin = 0.0018 Esp. S = 19.2 Usar 13 φ 3/4" @ 19.2 cm 6° Diseño en Dirección Transversal b1 = 89.37 cm 92 cm b2 = 143.73 cm 150 cm ● Zapata Exterior qNU = 60833.3333333333 Kg/m Diámetro de Varilla φ: 3/4" Mu = 27451.0416666667 Kg-m Av = 2.85 cm2 Ru = 4.81 Kg/cm2 # var = 4.58 5 Varillas ρ = 0.0012962804 Esp. S = 18.8 cm ρmin = 0.0018 As = 13.04 cm2 Usar 5 φ 3/4" @ 18.8 cm Refuerzo por Montaje: s = 68.58 cm # var = 5 varillas Usar 5 φ 3/8¨¨ @ 55 cm Esp. S = 55 cm ● Zapata Interior qNU = 95833.3333333333 Kg/m Diámetro de Varilla φ: 1/2" Mu = 36686.1979166667 Kg-m Av = 1.27 cm2 Ru = 3.95 Kg/cm2 # var = 16.74 18 Varillas ρ = 0.0010609111 Esp. S = 7.9 cm ρmin = 0.0018 As = 21.26 cm2 Usar 18 φ 1/2" @ 7.9 cm Parametros Coeficientes φ para Diseño Varilla Diámetro Area Factores φ NTE E.060 ACI 318S-08 3/8" 0.9525 0.71 3 1.5 1.2 1 Tensión 0.90 0.90 1/2" 1.27 1.27 4 Compresión 0.70 0.65 5/8" 1.5875 1.98 5 Cortante 0.85 0.75 3/4" 1.905 2.85 6 1" 2.54 5.07 8 Combinaciones para Carga Estática 1 3/8" 3.4925 9.58 11 Coeficientes NTE E.060 ACI 318S-08 Carga Muerta 1.50 1.20 Carga Viva 1.80 1.60 Longitudes de Desarrollo Factores Ψ Descripción Valor Ψt Varillas Superiores 1.30 Otras Varillas 1.00 Ψe Varillas o alambres con recubrimiento Expóxico con menos de 3db de recubrimiento o separación libre menor de 6db 1.50 Todas la Otras Varillas o Alambre con Recubrimiento Epóxico 1.20 Refuerzo sin Recubrimiento y con recubrimiento con zinc 1.00 Ψs Varillas o alambres menores o iguales a la #6 0.80 Varillas mayores o iguales a la #7 1.00 λ Concreto de Peso Liviano 0.75 Cuando se especifica fct Concreto de Peso Normal 1.00 Hoja1 Story Point Load FX FY FZ MX MY MZ BASE 1 PD 126.08 1344.51 20683.64 -20.198 -3387.191 -0.393 BASE 1 PL 58.73 221.65 3590.06 -1.244 -566.794 -1.431 BASE 2 PD 245.14 32.82 24795.3 -9.255 -3851.032 -5.936 BASE 2 PL 125.29 13.43 4773.94 -3.405 -669.605 -2.403 BASE 3 PD 1460.07 10.05 43274.41 -4.025 -5989.19 -3.23 BASE 3 PL 627.95 6.02 9246.51 -1.744 -1008.448 -0.836 BASE 4 PD 1461.72 -5.61 43337.62 1.255 -6020.959 -0.083 BASE 4 PL 627.8 -2.15 9434.48 1.011 -1046.095 0.017 BASE 5 PD 1452.8 -36.81 41599.8 11.771 -5707.363 3.256 BASE 5 PL 621.28 -13.62 8925.59 4.878 -951.138 1.898 BASE 6 PD 866.85 -1319.95 34067.5 31.41 -5095.579 -0.729 BASE 6 PL 319.35 -249.21 6718.35 3.38 -890.674 1.694 BASE 7 PD -126.08 1344.51 20683.64 -20.198 3387.191 0.393 BASE 7 PL -58.73 221.65 3590.06 -1.244 566.794 1.431 BASE 8 PD -245.14 32.82 24795.3 -9.255 3851.032 5.936 BASE 8 PL -125.29 13.43 4773.94 -3.405 669.605 2.403 BASE 9 PD -1460.07 10.05 43274.41 -4.025 5989.19 3.23 BASE 9 PL -627.95 6.02 9246.51 -1.744 1008.448 0.836 BASE 10 PD -1461.72 -5.61 43337.62 1.255 6020.959 0.083 BASE 10 PL -627.8 -2.15 9434.48 1.011 1046.095 -0.017 BASE 11 PD -1452.8 -36.81 41599.8 11.771 5707.363 -3.256 BASE 11 PL -621.28 -13.62 8925.59 4.878 951.138 -1.898 BASE 12 PD -866.85 -1319.95 34067.5 31.41 5095.579 0.729 BASE 12 PL -319.35 -249.21 6718.35 3.38 890.674 -1.694 BASE 13 PD -12.52 77.02 1285.74 0 0 0 BASE 13 PL -6.55 6.41 194.37 0 0 0 BASE 14 PD 2.88 72.84 1289.82 0 0 0 BASE 14 PL 1.51 7.99 197.55 0 0 0 BASE 15 PD -0.29 65.51 1311.01 0 0 0 BASE 15 PL -0.14 10.02 201.82 0 0 0 BASE 16 PD 0.36 56.69 1331.88 0 0 0 BASE 16 PL 0.2 12.23 206.41 0 0 0 BASE 17 PD 0.27 47.49 1351.28 0 0 0 BASE 17 PL 0.16 14.4 211.34 0 0 0 BASE 18 PD 0.14 38.75 1368.91 0 0 0 BASE 18 PL 0.09 16.26 216.42 0 0 0 BASE 19 PD 0.99 31.25 1385.19 0 0 0 BASE 19 PL 0.52 17.48 221.22 0 0 0 BASE 20 PD -3.04 25.93 1401.3 0 0 0 BASE 20 PL -1.52 17.55 224.98 0 0 0 BASE 21 PD 16.74 24.05 1413.6 0 0 0 BASE 21 PL 8.5 15.7 224.44 0 0 0 BASE 22 PD -12.08 31.19 1447.34 0 0 0 BASE 22 PL -3.07 7.16 238.82 0 0 0 BASE 23 PD 2.9 30.61 1443.8 0 0 0 BASE 23 PL 0.88 5.8 244.11 0 0 0 BASE 24 PD -0.2 26.44 1448.32 0 0 0 BASE 24 PL 0.07 6.22 249.46 0 0 0 BASE 25 PD 0.42 20.17 1453.56 0 0 0 BASE 25 PL 0.24 7.66 253.75 0 0 0 BASE 26 PD 0.33 12.98 1458.52 0 0 0 BASE 26 PL 0.22 9.51 257.57 0 0 0 BASE 27 PD 0.18 5.92 1463.02 0 0 0 BASE 27 PL 0.18 11.28 261.03 0 0 0 BASE 28 PD 1.12 0.14 1467.75 0 0 0 BASE 28 PL 0.47 12.44 263.85 0 0 0 BASE 29 PD -3.32 -2.89 1474.36 0 0 0 BASE 29 PL -0.89 12.33 265.24 0 0 0 BASE 30 PD 18.5 -1.2 1483.8 0 0 0 BASE 30 PL 5.8 10.01 263.13 0 0 0 BASE 31 PD 3.02 16.03 1492.58 0 0 0 BASE 31 PL 1.31 -0.58 269.44 0 0 0 BASE 32 PD -0.13 18.01 1483.890 0 0 BASE 32 PL 0.05 -2.59 273.85 0 0 0 BASE 33 PD 0.47 14.95 1481.5 0 0 0 BASE 33 PL 0.3 -2.47 276.51 0 0 0 BASE 34 PD 0.32 8.95 1481.16 0 0 0 BASE 34 PL 0.24 -1.13 277.87 0 0 0 BASE 35 PD 0.35 1.6 1481.28 0 0 0 BASE 35 PL 0.26 0.79 278.65 0 0 0 BASE 36 PD 0.31 -5.77 1481.32 0 0 0 BASE 36 PL 0.24 2.75 279.09 0 0 0 BASE 37 PD 0.54 -11.83 1481.79 0 0 0 BASE 37 PL 0.32 4.22 279.03 0 0 0 BASE 38 PD -0.45 -14.98 1484.28 0 0 0 BASE 38 PL -0.03 4.6 277.82 0 0 0 BASE 39 PD 4.63 -13.14 1492.09 0 0 0 BASE 39 PL 1.7 3.01 274.68 0 0 0 BASE 40 PD 5.11 4 1485.56 0 0 0 BASE 40 PL 2.24 -6.1 272.85 0 0 0 BASE 41 PD -0.55 5.46 1474.55 0 0 0 BASE 41 PL -0.14 -7.84 276.06 0 0 0 BASE 42 PD 0.56 1.9 1467.28 0 0 0 BASE 42 PL 0.34 -7.6 276.49 0 0 0 BASE 43 PD 0.3 -4.64 1461.76 0 0 0 BASE 43 PL 0.23 -6.24 275.68 0 0 0 BASE 44 PD 0.35 -12.63 1456.33 0 0 0 BASE 44 PL 0.25 -4.41 274.28 0 0 0 BASE 45 PD 0.32 -20.81 1450.38 0 0 0 BASE 45 PL 0.24 -2.66 272.45 0 0 0 BASE 46 PD 0.45 -27.94 1444.25 0 0 0 BASE 46 PL 0.27 -1.54 269.92 0 0 0 BASE 47 PD -0.03 -32.59 1439.25 0 0 0 BASE 47 PL 0.16 -1.72 265.91 0 0 0 BASE 48 PD 2.51 -32.89 1442.79 0 0 0 BASE 48 PL 0.74 -4.15 261.14 0 0 0 BASE 49 PD 22.54 -24.13 1405.09 0 0 0 BASE 49 PL 11.19 -16.51 247.98 0 0 0 BASE 50 PD -4.17 -26.62 1389.69 0 0 0 BASE 50 PL -2.02 -19.67 249.8 0 0 0 BASE 51 PD 1.25 -33.19 1371.1 0 0 0 BASE 51 PL 0.68 -20.35 246.47 0 0 0 BASE 52 PD 0.11 -42.27 1352.36 0 0 0 BASE 52 PL 0.11 -19.51 241.55 0 0 0 BASE 53 PD 0.28 -52.69 1332.14 0 0 0 BASE 53 PL 0.19 -17.79 236.04 0 0 0 BASE 54 PD 0.4 -63.43 1310.01 0 0 0 BASE 54 PL 0.25 -15.62 230.53 0 0 0 BASE 55 PD -0.44 -73.43 1286.48 0 0 0 BASE 55 PL -0.21 -13.29 225.34 0 0 0 BASE 56 PD 3.7 -81.22 1263.14 0 0 0 BASE 56 PL 2.03 -11.05 220.52 0 0 0 BASE 57 PD -16.38 -84.67 1258.8 0 0 0 BASE 57 PL -8.91 -9.13 217.59 0 0 0 BASE 58 PD 12.52 77.02 1285.74 0 0 0 BASE 58 PL 6.55 6.41 194.37 0 0 0 BASE 59 PD -2.88 72.84 1289.82 0 0 0 BASE 59 PL -1.51 7.99 197.55 0 0 0 BASE 60 PD 0.29 65.51 1311.01 0 0 0 BASE 60 PL 0.14 10.02 201.82 0 0 0 BASE 61 PD -0.36 56.69 1331.88 0 0 0 BASE 61 PL -0.2 12.23 206.41 0 0 0 BASE 62 PD -0.27 47.49 1351.28 0 0 0 BASE 62 PL -0.16 14.4 211.34 0 0 0 BASE 63 PD -0.14 38.75 1368.91 0 0 0 BASE 63 PL -0.09 16.26 216.42 0 0 0 BASE 64 PD -0.99 31.25 1385.19 0 0 0 BASE 64 PL -0.52 17.48 221.22 0 0 0 BASE 65 PD 3.04 25.93 1401.3 0 0 0 BASE 65 PL 1.52 17.55 224.98 0 0 0 BASE 66 PD -16.74 24.05 1413.6 0 0 0 BASE 66 PL -8.5 15.7 224.44 0 0 0 BASE 67 PD 12.08 31.19 1447.34 0 0 0 BASE 67 PL 3.07 7.16 238.82 0 0 0 BASE 68 PD -2.9 30.61 1443.8 0 0 0 BASE 68 PL -0.88 5.8 244.11 0 0 0 BASE 69 PD 0.2 26.44 1448.32 0 0 0 BASE 69 PL -0.07 6.22 249.46 0 0 0 BASE 70 PD -0.42 20.17 1453.56 0 0 0 BASE 70 PL -0.24 7.66 253.75 0 0 0 BASE 71 PD -0.33 12.98 1458.52 0 0 0 BASE 71 PL -0.22 9.51 257.57 0 0 0 BASE 72 PD -0.18 5.92 1463.02 0 0 0 BASE 72 PL -0.18 11.28 261.03 0 0 0 BASE 73 PD -1.12 0.14 1467.75 0 0 0 BASE 73 PL -0.47 12.44 263.85 0 0 0 BASE 74 PD 3.32 -2.89 1474.36 0 0 0 BASE 74 PL 0.89 12.33 265.24 0 0 0 BASE 75 PD -18.5 -1.2 1483.8 0 0 0 BASE 75 PL -5.8 10.01 263.13 0 0 0 BASE 76 PD -3.02 16.03 1492.58 0 0 0 BASE 76 PL -1.31 -0.58 269.44 0 0 0 BASE 77 PD 0.13 18.01 1483.89 0 0 0 BASE 77 PL -0.05 -2.59 273.85 0 0 0 BASE 78 PD -0.47 14.95 1481.5 0 0 0 BASE 78 PL -0.3 -2.47 276.51 0 0 0 BASE 79 PD -0.32 8.95 1481.16 0 0 0 BASE 79 PL -0.24 -1.13 277.87 0 0 0 BASE 80 PD -0.35 1.6 1481.28 0 0 0 BASE 80 PL -0.26 0.79 278.65 0 0 0 BASE 81 PD -0.31 -5.77 1481.32 0 0 0 BASE 81 PL -0.24 2.75 279.09 0 0 0 BASE 82 PD -0.54 -11.83 1481.79 0 0 0 BASE 82 PL -0.32 4.22 279.03 0 0 0 BASE 83 PD 0.45 -14.98 1484.28 0 0 0 BASE 83 PL 0.03 4.6 277.82 0 0 0 BASE 84 PD -4.63 -13.14 1492.09 0 0 0 BASE 84 PL -1.7 3.01 274.68 0 0 0 BASE 85 PD -5.11 4 1485.56 0 0 0 BASE 85 PL -2.24 -6.1 272.85 0 0 0 BASE 86 PD 0.55 5.46 1474.55 0 0 0 BASE 86 PL 0.14 -7.84 276.06 0 0 0 BASE 87 PD -0.56 1.9 1467.28 0 0 0 BASE 87 PL -0.34 -7.6 276.49 0 0 0 BASE 88 PD -0.3 -4.64 1461.76 0 0 0 BASE 88 PL -0.23 -6.24 275.68 0 0 0 BASE 89 PD -0.35 -12.63 1456.33 0 0 0 BASE 89 PL -0.25 -4.41 274.28 0 0 0 BASE 90 PD -0.32 -20.81 1450.38 0 0 0 BASE 90 PL -0.24 -2.66 272.45 0 0 0 BASE 91 PD -0.45 -27.94 1444.25 0 0 0 BASE 91 PL -0.27 -1.54 269.92 0 0 0 BASE 92 PD 0.03 -32.59 1439.25 0 0 0 BASE 92 PL -0.16 -1.72 265.91 0 0 0 BASE 93 PD -2.51 -32.89 1442.79 0 0 0 BASE 93 PL -0.74 -4.15 261.14 0 0 0 BASE 94 PD -22.54 -24.13 1405.09 0 0 0 BASE 94 PL -11.19 -16.51 247.98 0 0 0 BASE 95 PD 4.17 -26.62 1389.69 0 0 0 BASE 95 PL 2.02 -19.67 249.8 0 0 0 BASE 96 PD -1.25 -33.19 1371.1 0 0 0 BASE 96 PL -0.68 -20.35 246.47 0 0 0 BASE 97 PD -0.11 -42.27 1352.36 0 0 0 BASE 97 PL -0.11 -19.51 241.55 0 0 0 BASE 98 PD -0.28 -52.69 1332.14 0 0 0 BASE 98 PL -0.19 -17.79 236.04 0 0 0 BASE 99 PD -0.4 -63.43 1310.01 0 0 0 BASE 99 PL -0.25 -15.62 230.53 0 0 0 BASE 100 PD 0.44 -73.43 1286.48 0 0 0 BASE 100 PL 0.21 -13.29 225.34 0 0 0 BASE 101 PD -3.7 -81.22 1263.14 0 0 0 BASE 101 PL -2.03 -11.05 220.52 0 0 0 BASE 102 PD 16.38 -84.67 1258.8 0 0 0 BASE 102 PL 8.91 -9.13 217.59 0 0 0 BASE 303 PD 0 0.05 23723.61 -0.223 0 0 BASE 303 PL 0 0 5730.34 0.073 0 0 BASE 304 PD 0 0.05 33953.35 -0.223 0 0 BASE 304 PL 0 0 10100.76 0.073 0 0 Hoja2 Story ElementType Material TotalWeight FloorArea UnitWeight NumPieces NumStuds ROOF Column FC280 123706.8 8954369.607 0.0138 31 ROOF Beam FC280 52759.887 8954369.607 0.0059 25 0 ROOF Wall FC280 99066.952 8954369.607 0.0111 ROOF Floor FC280 456672.85 8954369.607 0.051 STORY4 Column FC280 257443.2 24043612.687 0.0107 69 STORY4 Beam FC280 106352.018 24043612.687 0.0044 50 0 STORY4 Wall FC280 318875.886 24043612.687 0.0133 STORY4 Floor FC280 1226224.247 24043612.687 0.051 STORY3 Column FC280 257443.2 23484946.549 0.011 69 STORY3 Beam FC280 109224.818 23484946.549 0.0047 51 0 STORY3 Wall FC280 318875.886 23484946.549 0.0136 STORY3 Floor FC280 1197732.274 23484946.549 0.051 STORY2 Column FC280 257443.2 23394961.549 0.011 69 STORY2 Beam FC280 112545.138 23394961.549 0.0048 53 0 STORY2 Wall FC280 318875.886 23394961.549 0.0136 STORY2 Floor FC280 1193143.039 23394961.549 0.051 BASEMENT Column FC280 257443.2 20665718.41 0.0125 69 BASEMENT Beam FC280 115394.222 20665718.41 0.0056 52 0 BASEMENT Wall FC280 318875.886 20665718.41 0.0154 BASEMENT Floor FC280 1053951.639 20665718.41 0.051 SUM Column FC280 1153479.6 100543608.8 0.0115 307 SUM Beam FC280 496276.082 100543608.8 0.0049 231 0 SUM Wall FC280 1374570.496 100543608.8 0.0137 SUM Floor FC280 5127724.049 100543608.8 0.051 TOTAL All All 8152050.227 100543608.8 0.0811 538 0
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